Add to ORKGAbstract: In a previous paper Lopezlena (2004) introduced a balancing condition for nonlinear systems. This paper provides an extended justification of such balancing con-dition in terms of semigroups of diffeomorphisms in a Hilbert submanifold framework. Moreover, it is argued that when such condition is satisfied the resulting group of dif-feomorphisms describes the flow of the nonlinear system. Using the same framework the nonlinear behavioral operator is defined and a result regarding its spectral properties is presented. Copyright c©2006 IFA
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In this thesis we address certain questions arising in the functional analytic study of dynamical sy...
Abstract. We show that semigroups of endomorphisms of B(H) can often be asso-ciated with a dynamical...
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Previously, a balancing condition for nonlinear systems was introduced. This paper provides an exten...
This book presents a systematic exposition of the general theory of nonlinear contraction semigroups...
Two different applications of the operator splitting method are presented here. The first one concer...
Abstract. The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary an...
In this paper we study the properties of a new one parameter family of nonlinear operators which is ...
AbstractIn this article we introduce the concept of a gradient-like nonlinear semigroup as an interm...
The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For li...
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This research monograph deals with nonlinear evolution operators and semigroups generated by dissipa...
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